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Zumino's theorem in the quasi-chemical equilibrium theory

Published online by Cambridge University Press:  09 April 2009

Takeo Matsubara  and
Colin J. Thompson
Takeo Matsubara
Affiliation:
Applied Mathematics Department, University of New South Wales.
Colin J. Thompson
Affiliation:
Applied Mathematics Department, University of New South Wales.
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Abstract

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A theorem on the canonical form of an antisymmetric matrix, which we attribute to Zumino, is used to show how the derivations of the results of two earlier papers by Blatt on expectation values of operators can be considerably simplified.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 4 , November 1963 , pp. 456 - 467
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Schafroth, M. R., Butler, S. T., and Blatt, J. M., Helv. Phys. Acta. 30, (1957) 93.Google Scholar
[2]Blatt, J. M., This Journal 1, (1960) 465 called E 1.Google Scholar
[3]Blatt, J. M., This Journal 2, (1962) 464 called E 11.Google Scholar
[4]Zumino, B., J. Math. Phys. 3 (1962), 1055. See also Bloch, C., and Messiah, A., Nuclear Physics 39 (1962) 95.CrossRefGoogle Scholar
[5]Blatt, J. M., and Matsubara, T., Prog. Theor. Phys. 20, (1958) 533.Google Scholar
[6]Matsubara, T. and Blatt, J. M., Prog. Theor. Phys. 23, (1960) 451.CrossRefGoogle Scholar